Ratio and Proportion Worksheet
The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).
NameDateTime takenScore ___ / 40
- 1.Divide ₹110 between Arjun and Aarav in the ratio 2 : 3. How much does Arjun get (in ₹)?
- 2.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 3.Divide ₹160 between Pooja and Karan in the ratio 3 : 1. How much does Pooja get (in ₹)?
- 4.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 6.4 : 10 = 24 : ?
- 7.Divide ₹130 between Rahul and Diya in the ratio 9 : 1. How much does Diya get (in ₹)?
- 8.Divide ₹360 between Ananya and Aditya in the ratio 1 : 9. How much does Ananya get (in ₹)?
- 9.6 : 15 = 24 : ?
- 10.7 : 13 = 35 : ?
- 11.Divide ₹492 between Arjun and Farhan in the ratio 7 : 5. How much does Arjun get (in ₹)?
- 12.9 : 4 = 72 : ?
- 13.Divide ₹84 between Manav and Farhan in the ratio 2 : 1. How much does Manav get (in ₹)?
- 14.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
- 15.Divide ₹210 between Nisha and Vivaan in the ratio 4 : 1. How much does Nisha get (in ₹)?
- 16.Divide ₹135 between Kabir and Priya in the ratio 8 : 7. How much does Priya get (in ₹)?
- 17.Divide ₹754 between Aditya and Ananya in the ratio 5 : 8. How much does Ananya get (in ₹)?
- 18.The ratio of boys to girls in a class is 5 : 4. There are 50 boys. How many girls are there?
- 19.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
- 20.2 : 15 = 8 : ?
- 21.5 : 13 = 10 : ?
- 22.10 : 12 = 90 : ?
- 23.Divide ₹133 between Kabir and Pooja in the ratio 6 : 1. How much does Kabir get (in ₹)?
- 24.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
- 25.The ratio of boys to girls in a class is 1 : 7. There are 8 boys. How many girls are there?
- 26.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 27.The ratio of boys to girls in a class is 7 : 6. There are 42 boys. How many girls are there?
- 28.Divide ₹676 between Ananya and Rohan in the ratio 4 : 9. How much does Ananya get (in ₹)?
- 29.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 30.Divide ₹340 between Rohan and Meera in the ratio 9 : 1. How much does Meera get (in ₹)?
- 31.Divide ₹108 between Kavya and Saanvi in the ratio 5 : 7. How much does Saanvi get (in ₹)?
- 32.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 33.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 34.The ratio of boys to girls in a class is 4 : 1. There are 20 boys. How many girls are there?
- 35.Divide ₹77 between Sneha and Ishaan in the ratio 6 : 5. How much does Sneha get (in ₹)?
- 36.The ratio of boys to girls in a class is 8 : 3. There are 64 boys. How many girls are there?
- 37.8 : 15 = 32 : ?
- 38.4 : 15 = 32 : ?
- 39.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 40.Divide ₹612 between Karan and Aditya in the ratio 5 : 7. How much does Aditya get (in ₹)?
Answer key
- 44
- 24
- 120
- 112
- 128
- 60
- 13
- 36
- 60
- 65
- 287
- 32
- 56
- 45
- 168
- 63
- 464
- 40
- 15
- 60
- 26
- 108
- 114
- 8
- 56
- 72
- 36
- 208
- 12
- 34
- 63
- 48
- 18
- 5
- 42
- 24
- 60
- 120
- 8
- 357
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude